Abstract

A two-species nonautonomous Lotka-Volterra type model with diffusional migration among the immature predator population, constant delay among the matured predators, and toxicant effect on the immature predators in a nonprotective patch is proposed. The scale of the protective zone among the immature predator population can be regulated through diffusive coefficients Di(t), i=1,2. It is proved that this system is uniformly persistent (permanence) under appropriate
conditions. Sufficient conditions are derived to confirm that if this system admits a
positive periodic solution, then it is globally asymptotically stable.

Copyright Hindawi Publishing Corporation. The ELibM mirror is published by FIZ Karlsruhe.